You are awesome, I really love your energy. I was so depressed from going through the books tryint to understand it….but this video made me happier about maths and I get the integrating factor, thank you, ❤
9:25 hey! I love your videos, im currently bingewatching them all! The calm voice and amazing descriptions are simply the best. I just have a note to say here! Integrating d(xy) would still yield a constant. We just typically dont write it because if you think about it, f(x)+d = g(x)+c Is the same as f(x)= g(x)+c-d c-d is still a constant so we usually just shorten this step and set the “c-d” to just be +c on the right hand side, so technically your justification for not writing +d on the left is incorrect. Still doesnt change the meaning and educational value of this lesson, and keep making videos! ❤
Pay close attention to what's going on at 5:20; that's the secret to the entire problem. The Integrating Factor is applied so that the equation becomes an "exact" equation -- in other words, the left side of the equation becomes (xy)'. In general, the Integrating factor satisfies the following requirement: what u(x) can you create such that u'(x) = u(x)*P(x)? Well, that would be u(x) = e^(integral of P(x)); when you differentiate it you get u'(x) = u(x)*P(x).
![Exact Equations [ODE]](http://i.ytimg.com/vi/pgJci5CI9n4/mqdefault.jpg)
![Exact Equations [ODE]](/img/tr.png)
Love this professor. Never stop teaching, because those who stop teaching, stop living.
🤣 never heard that before......
You are awesome, I really love your energy. I was so depressed from going through the books tryint to understand it….but this video made me happier about maths and I get the integrating factor, thank you, ❤
Salute to your consistency! 🔥🔥
Appreciate that
I feel myself vey lucky my 12th is going on and i got your channel
Could you do videos on 2nd order PDEs i.e homogenous and non-homogenous PDEs as well as the solution of the wave equation
9:25 hey! I love your videos, im currently bingewatching them all! The calm voice and amazing descriptions are simply the best. I just have a note to say here! Integrating d(xy) would still yield a constant. We just typically dont write it because if you think about it,
f(x)+d = g(x)+c
Is the same as
f(x)= g(x)+c-d
c-d is still a constant so we usually just shorten this step and set the “c-d” to just be +c on the right hand side, so technically your justification for not writing +d on the left is incorrect. Still doesnt change the meaning and educational value of this lesson, and keep making videos! ❤
Thank you!
Pay close attention to what's going on at 5:20; that's the secret to the entire problem. The Integrating Factor is applied so that the equation becomes an "exact" equation -- in other words, the left side of the equation becomes (xy)'.
In general, the Integrating factor satisfies the following requirement: what u(x) can you create such that u'(x) = u(x)*P(x)? Well, that would be u(x) = e^(integral of P(x)); when you differentiate it you get u'(x) = u(x)*P(x).
Thanks again for your support
September 9, 2024 @11:54 pm.
2nd year, DE.
Mandatory leaving comments sa lahat ng videos na nasolve ko hehe, thank you so much!!!